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31.10.2019 •
Mathematics
Choose the correct answer. your business signs a ninety-day promissory note for
$5,000 at 5% monthly interest. how much interest will you have to pay on a collect basis?
a. $ 250.00
b. $ 750.00
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Ответ:
1. evaluate the function rule for the given value
f(x) = 3x for x = –5
here we have to substitute the value of x:
f(5)=3·(-5)
f(5)= -15 answer is c
2. find the first, fourth, and eighth terms of the sequence.
a(n) = −3 ∙ 2x − 1
in this case the correct way to write the sequence is:
a(n) = −3 ∙ 2n − 1
which can be written as:
a(n) = −6n – 1
this is an arithmetic succession, and if we want to find any term of this succession, we have to substitute the value of n.
for the first term n=1
a(1) = −6∙1 – 1
a(1) = −7
for the fourth term n=4
a(4) = −6∙4 – 1
a(4) = −25
for the eight term n=8
a(8) = −6∙8 – 1
a(8) = −49
then, the terms are -7; -25; -49
3. evaluate the function rule for the given value.
y = 15·3x for x = –3
substitute the value of x:
y = 15·3·(-3)
y = -135 the answer is a
4. evaluate the function rule for the given value.
f(x) = 15x for x = 3
substitute the value of x:
f(3) = 15·3
f(3) = 45 the answer is c
5. a boat costs $16,600 and decreases in value by 14% per year. how much will the boat be worth after 11 years?
this can be expressed as a geometric succession:
note that![14\%=\frac{14}{100}=0.14](/tex.php?f=14\%=\frac{14}{100}=0.14)
so (1) can be written as:
in this case if we want to know the worth of the boat after 11 years, we have to find the 11th term of this succession:
then:
after 11 years the boat will worth $3159.30
the answer is b
6. evaluate the function rule for the given value.
y = 6 ∙ 4x for x = –3
substitute the value of x:
y = 6 ∙ 4 ∙ (-3)
y= -72 the answer is c